Preliminary Plots 3
2024-06-27
Splitting by Season
This analysis groups fish by season as well as decade to
determine significance.
## Atlantic Cod
Original Cod data:
Transformed Cod data:
Cod table by decade and season and linear model:
## 1990s 2000s 2010s 2020s
## SUMMER 3.069992 2.963709 3.106042 NA
## FALL NA NA NA NA
## WINTER 3.052689 3.147139 NA NA
## SPRING 3.058870 3.044934 3.044054 3.048327
##
## Call:
## lm(formula = log(INDWT) ~ log(LENGTH) * decade + log(LENGTH) *
## SEASON)
##
## Residuals:
## Min 1Q Median 3Q Max
## -4.6291 -0.0701 -0.0008 0.0690 2.2164
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -12.044000 0.015298 -787.279 < 2e-16 ***
## log(LENGTH) 3.140433 0.003958 793.369 < 2e-16 ***
## decade2000s -0.087804 0.015791 -5.560 2.71e-08 ***
## decade2010s -0.014461 0.017471 -0.828 0.408
## decade2020s 0.028607 0.030762 0.930 0.352
## SEASONSPRING 0.341293 0.011944 28.574 < 2e-16 ***
## SEASONSUMMER 0.273456 0.026610 10.276 < 2e-16 ***
## SEASONWINTER 0.087130 0.021747 4.007 6.17e-05 ***
## log(LENGTH):decade2000s 0.019589 0.004070 4.813 1.49e-06 ***
## log(LENGTH):decade2010s 0.002659 0.004514 0.589 0.556
## log(LENGTH):decade2020s -0.001466 0.008096 -0.181 0.856
## log(LENGTH):SEASONSPRING -0.102321 0.003113 -32.865 < 2e-16 ***
## log(LENGTH):SEASONSUMMER -0.070486 0.006911 -10.199 < 2e-16 ***
## log(LENGTH):SEASONWINTER -0.029030 0.005621 -5.164 2.43e-07 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.1296 on 41213 degrees of freedom
## Multiple R-squared: 0.9914, Adjusted R-squared: 0.9914
## F-statistic: 3.665e+05 on 13 and 41213 DF, p-value: < 2.2e-16American Plaice
Transformed American plaice data:
American plaice table by decade and season and linear model:
## 1990s 2000s 2010s 2020s
## SUMMER 3.181419 3.224220 NA NA
## WINTER 3.259863 3.401977 NA NA
## SPRING 3.312532 3.350355 3.291251 3.271513##
## Call:
## lm(formula = log(plaice$INDWT) ~ log(plaice$LENGTH) * plaice$decade +
## log(plaice$LENGTH) * plaice$SEASON)
##
## Residuals:
## Min 1Q Median 3Q Max
## -2.00273 -0.08294 -0.00461 0.07729 2.67662
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.278e+01 1.484e-02 -861.082 < 2e-16
## log(plaice$LENGTH) 3.314e+00 4.475e-03 740.685 < 2e-16
## plaice$decade2000s -1.988e-01 1.760e-02 -11.298 < 2e-16
## plaice$decade2010s -1.187e-02 1.656e-02 -0.717 0.4734
## plaice$decade2020s 1.193e-02 2.659e-02 0.449 0.6538
## plaice$SEASONSPRING 2.166e-02 1.198e-02 1.808 0.0707
## plaice$SEASONSUMMER 3.859e-01 2.864e-02 13.477 < 2e-16
## plaice$SEASONWINTER 1.570e-01 9.777e-02 1.605 0.1084
## log(plaice$LENGTH):plaice$decade2000s 4.103e-02 5.319e-03 7.714 1.25e-14
## log(plaice$LENGTH):plaice$decade2010s 5.597e-04 4.996e-03 0.112 0.9108
## log(plaice$LENGTH):plaice$decade2020s 2.928e-04 8.035e-03 0.036 0.9709
## log(plaice$LENGTH):plaice$SEASONSPRING -1.644e-02 3.641e-03 -4.515 6.35e-06
## log(plaice$LENGTH):plaice$SEASONSUMMER -1.242e-01 8.663e-03 -14.336 < 2e-16
## log(plaice$LENGTH):plaice$SEASONWINTER -3.756e-02 2.717e-02 -1.382 0.1669
##
## (Intercept) ***
## log(plaice$LENGTH) ***
## plaice$decade2000s ***
## plaice$decade2010s
## plaice$decade2020s
## plaice$SEASONSPRING .
## plaice$SEASONSUMMER ***
## plaice$SEASONWINTER
## log(plaice$LENGTH):plaice$decade2000s ***
## log(plaice$LENGTH):plaice$decade2010s
## log(plaice$LENGTH):plaice$decade2020s
## log(plaice$LENGTH):plaice$SEASONSPRING ***
## log(plaice$LENGTH):plaice$SEASONSUMMER ***
## log(plaice$LENGTH):plaice$SEASONWINTER
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.1329 on 42945 degrees of freedom
## Multiple R-squared: 0.9882, Adjusted R-squared: 0.9882
## F-statistic: 2.769e+05 on 13 and 42945 DF, p-value: < 2.2e-16Atlantic Herring
Transformed Cod data:
Atlantic herring table by decade and season and linear model:
## 1990s 2000s 2010s 2020s
## SUMMER 3.162187 NA 3.110690 3.205235
## FALL NA NA NA NA
## WINTER 2.848033 3.06000 NA NA
## SPRING 3.023497 3.18669 3.144721 3.133027##
## Call:
## lm(formula = log(herring$INDWT) ~ log(herring$LENGTH) * herring$decade +
## log(herring$LENGTH) * herring$SEASON)
##
## Residuals:
## Min 1Q Median 3Q Max
## -2.5356 -0.0755 0.0062 0.0843 7.3503
##
## Coefficients:
## Estimate Std. Error t value
## (Intercept) -11.303040 0.019342 -584.380
## log(herring$LENGTH) 2.901161 0.006140 472.535
## herring$decade2000s -0.557109 0.019424 -28.681
## herring$decade2010s -0.237912 0.019985 -11.904
## herring$decade2020s 0.120946 0.065058 1.859
## herring$SEASONSPRING -0.491803 0.014503 -33.911
## herring$SEASONSUMMER -0.751938 0.043119 -17.439
## herring$SEASONWINTER -0.007619 0.034600 -0.220
## log(herring$LENGTH):herring$decade2000s 0.191790 0.006171 31.082
## log(herring$LENGTH):herring$decade2010s 0.082538 0.006384 12.929
## log(herring$LENGTH):herring$decade2020s -0.023295 0.020471 -1.138
## log(herring$LENGTH):herring$SEASONSPRING 0.126567 0.004651 27.215
## log(herring$LENGTH):herring$SEASONSUMMER 0.260470 0.013549 19.224
## log(herring$LENGTH):herring$SEASONWINTER -0.037384 0.010998 -3.399
## Pr(>|t|)
## (Intercept) < 2e-16 ***
## log(herring$LENGTH) < 2e-16 ***
## herring$decade2000s < 2e-16 ***
## herring$decade2010s < 2e-16 ***
## herring$decade2020s 0.063023 .
## herring$SEASONSPRING < 2e-16 ***
## herring$SEASONSUMMER < 2e-16 ***
## herring$SEASONWINTER 0.825704
## log(herring$LENGTH):herring$decade2000s < 2e-16 ***
## log(herring$LENGTH):herring$decade2010s < 2e-16 ***
## log(herring$LENGTH):herring$decade2020s 0.255154
## log(herring$LENGTH):herring$SEASONSPRING < 2e-16 ***
## log(herring$LENGTH):herring$SEASONSUMMER < 2e-16 ***
## log(herring$LENGTH):herring$SEASONWINTER 0.000676 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.1338 on 102990 degrees of freedom
## Multiple R-squared: 0.9566, Adjusted R-squared: 0.9566
## F-statistic: 1.745e+05 on 13 and 102990 DF, p-value: < 2.2e-16Spiny Dogfish
Transformed dogfish data:
Spiny dogfish table by decade and season and linear model:
## 1990s 2000s 2010s 2020s
## SUMMER 3.124308 NA 3.267771 NA
## FALL NA NA NA NA
## WINTER 3.123125 3.195706 NA NA
## SPRING 3.161359 3.217659 3.152926 3.065457##
## Call:
## lm(formula = log(dogfish$INDWT) ~ log(dogfish$LENGTH) * dogfish$decade +
## log(dogfish$LENGTH) * dogfish$SEASON)
##
## Residuals:
## Min 1Q Median 3Q Max
## -4.0963 -0.0885 -0.0044 0.0842 1.7453
##
## Coefficients:
## Estimate Std. Error t value
## (Intercept) -12.626413 0.019436 -649.636
## log(dogfish$LENGTH) 3.048020 0.004633 657.862
## dogfish$decade2000s -0.236000 0.019425 -12.149
## dogfish$decade2010s 0.006186 0.021964 0.282
## dogfish$decade2020s 0.390083 0.041241 9.459
## dogfish$SEASONSPRING -0.495222 0.019276 -25.691
## dogfish$SEASONSUMMER -0.309360 0.038695 -7.995
## dogfish$SEASONWINTER -0.419109 0.024920 -16.818
## log(dogfish$LENGTH):dogfish$decade2000s 0.058180 0.004598 12.654
## log(dogfish$LENGTH):dogfish$decade2010s -0.004884 0.005269 -0.927
## log(dogfish$LENGTH):dogfish$decade2020s -0.104144 0.009905 -10.514
## log(dogfish$LENGTH):dogfish$SEASONSPRING 0.112350 0.004596 24.445
## log(dogfish$LENGTH):dogfish$SEASONSUMMER 0.080206 0.009232 8.688
## log(dogfish$LENGTH):dogfish$SEASONWINTER 0.083765 0.005917 14.157
## Pr(>|t|)
## (Intercept) < 2e-16 ***
## log(dogfish$LENGTH) < 2e-16 ***
## dogfish$decade2000s < 2e-16 ***
## dogfish$decade2010s 0.778
## dogfish$decade2020s < 2e-16 ***
## dogfish$SEASONSPRING < 2e-16 ***
## dogfish$SEASONSUMMER 1.32e-15 ***
## dogfish$SEASONWINTER < 2e-16 ***
## log(dogfish$LENGTH):dogfish$decade2000s < 2e-16 ***
## log(dogfish$LENGTH):dogfish$decade2010s 0.354
## log(dogfish$LENGTH):dogfish$decade2020s < 2e-16 ***
## log(dogfish$LENGTH):dogfish$SEASONSPRING < 2e-16 ***
## log(dogfish$LENGTH):dogfish$SEASONSUMMER < 2e-16 ***
## log(dogfish$LENGTH):dogfish$SEASONWINTER < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.1321 on 63035 degrees of freedom
## Multiple R-squared: 0.9779, Adjusted R-squared: 0.9779
## F-statistic: 2.146e+05 on 13 and 63035 DF, p-value: < 2.2e-16